Search a number
-
+
630684141177420 = 2233511106175781343
BaseRepresentation
bin1000111101100110101001100…
…0001100110100101001001100
310001201001211000011220200011000
42033121222120030310221030
51130131112110120134140
610113204143351300300
7246562265646005511
oct21731523014645114
93051054004820130
10630684141177420
11172a5670787a550
125a89a98a97a690
13210bb34a95cb05
14b1a53bd61b308
154cda81db43a30
hex23d9a98334a4c

630684141177420 has 96 divisors (see below), whose sum is σ = 2140503751895040. Its totient is φ = 152893125132480.

The previous prime is 630684141177367. The next prime is 630684141177439. The reversal of 630684141177420 is 24771141486036.

630684141177420 is a `hidden beast` number, since 6 + 3 + 0 + 6 + 8 + 4 + 1 + 41 + 177 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53087884732 + ... + 53087896611.

It is an arithmetic number, because the mean of its divisors is an integer number (22296914082240).

Almost surely, 2630684141177420 is an apocalyptic number.

630684141177420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630684141177420 is an abundant number, since it is smaller than the sum of its proper divisors (1509819610717620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

630684141177420 is a wasteful number, since it uses less digits than its factorization.

630684141177420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106175781372 (or 106175781364 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 630684141177420 in words is "six hundred thirty trillion, six hundred eighty-four billion, one hundred forty-one million, one hundred seventy-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 106175781343 212351562686 318527344029 424703125372 530878906715 637054688058 955582032087 1061757813430 1167933594773 1274109376116 1592636720145 1911164064174 2123515626860 2335867189546 2866746096261 3185273440290 3503800784319 3822328128348 4671734379092 4777910160435 5733492192522 5839667973865 6370546880580 7007601568638 9555820320870 10511402352957 11466984385044 11679335947730 14015203137276 14333730481305 17519003921595 19111640641740 21022804705914 23358671895460 28667460962610 31534207058871 35038007843190 42045609411828 52557011764785 57334921925220 63068414117742 70076015686380 105114023529570 126136828235484 157671035294355 210228047059140 315342070588710 630684141177420